{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T21:53:45Z","timestamp":1725573225633},"publisher-location":"Berlin, Heidelberg","reference-count":8,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540319948"},{"type":"electronic","value":"9783540319955"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11666806_7","type":"book-chapter","created":{"date-parts":[[2006,2,14]],"date-time":"2006-02-14T22:09:49Z","timestamp":1139954989000},"page":"76-83","source":"Crossref","is-referenced-by-count":3,"title":["Discretization of Integro-Differential Equations Modeling Dynamic Fractional Order Viscoelasticity"],"prefix":"10.1007","author":[{"given":"K.","family":"Adolfsson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Enelund","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Larsson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Racheva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"7_CR1","doi-asserted-by":"publisher","first-page":"5285","DOI":"10.1016\/j.cma.2003.09.001","volume":"192","author":"K. Adolfsson","year":"2003","unstructured":"Adolfsson, K., Enelund, M., Larsson, S.: Adaptive discretization of an integrodifferential equation with a weakly singular convolution kernel. Comput. Methods Appl. Mech. Engrg.\u00a0192, 5285\u20135304 (2003)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"7_CR2","doi-asserted-by":"publisher","first-page":"4567","DOI":"10.1016\/j.cma.2004.03.006","volume":"193","author":"K. Adolfsson","year":"2004","unstructured":"Adolfsson, K., Enelund, M., Larsson, S.: Adaptive discretization of fractional order viscoelasticity using sparse time history. Comput. Methods Appl. Mech. Engrg.\u00a0193, 4567\u20134590 (2004)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"7_CR3","doi-asserted-by":"publisher","first-page":"741","DOI":"10.2514\/3.8142","volume":"21","author":"R.L. Bagley","year":"1983","unstructured":"Bagley, R.L., Torvik, P.J.: Fractional calculus\u2013a different approach to the analysis of viscoelastically damped structures. AIAA Journal\u00a021, 741\u2013748 (1983)","journal-title":"AIAA Journal"},{"key":"7_CR4","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1137\/0521021","volume":"21","author":"R.H. Fabiano","year":"1990","unstructured":"Fabiano, R.H., Ito, K.: Semigroup theory and numerical approximation for equations in linear viscoelasticity. SIAM J. Math. Anal.\u00a021, 374\u2013393 (1990)","journal-title":"SIAM J. Math. Anal."},{"key":"7_CR5","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/BF01398686","volume":"52","author":"C. Lubich","year":"1988","unstructured":"Lubich, C.: Convolution quadrature and discretized operational calculus. I. Numerische Mathematik\u00a052, 129\u2013145 (1988)","journal-title":"Numerische Mathematik"},{"key":"7_CR6","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/0377-0427(95)00025-9","volume":"69","author":"W. McLean","year":"1996","unstructured":"McLean, W., Thom\u00e9e, V., Wahlbin, L.B.: Discretization with variable time steps of an evolution equation with a positive-type memory term. Journal of Computational and Applied Mathematics\u00a069, 49\u201369 (1996)","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"7_CR7","doi-asserted-by":"publisher","first-page":"533","DOI":"10.1216\/jiea\/1181075713","volume":"4","author":"A.K. Pani","year":"1992","unstructured":"Pani, A.K., Thom\u00e9e, V., Wahlbin, L.B.: Numerical methods for hyperbolic and parabolic integro-differential equations. J. Integral Equations Appl.\u00a04, 533\u2013584 (1992)","journal-title":"J. Integral Equations Appl."},{"key":"7_CR8","doi-asserted-by":"publisher","first-page":"5551","DOI":"10.1016\/j.cma.2004.04.005","volume":"193","author":"S. Shaw","year":"2004","unstructured":"Shaw, S., Whiteman, J.R.: A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems. Comput. Methods Appl. Mech. Engrg.\u00a0193, 5551\u20135572 (2004)","journal-title":"Comput. Methods Appl. Mech. Engrg."}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11666806_7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T03:13:32Z","timestamp":1619493212000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11666806_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540319948","9783540319955"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/11666806_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}